February 9th, 2019, 08:39 AM  #11 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,618 Thanks: 2608 Math Focus: Mainly analysis and algebra 
How do you intend to do operations with these numbers? Having $x > 1$ and $x < 1$ raises the prospect of having many undefined results, because the two relations give conflicting results. The definitions are immensely vague as well. We don't have any idea of the scale of $x$. Is it "close" to $1$ or is it very large or very small? These things all have a dramatic effect on the qualities of the results of operations involving $x$. Perhaps most importantly, what do you intend to achieve? New numbers that extend different systems work best when they have a specific property that fills a specific need. Thus $i$ is a square root of $1$: all other properties are derived from this. Infinitesimals are defined to be positive and smaller than all positive reals for a specific purpose which we can then use to discover other of their properties. Last edited by skipjack; February 9th, 2019 at 01:09 PM. 
February 9th, 2019, 09:06 AM  #12  
Senior Member Joined: Sep 2016 From: USA Posts: 578 Thanks: 345 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
Suppose I tell you that $x < $ 1997 Honda Accord. What does that mean? So far the answer is "nothing" since $<$ has meaning for real numbers, not cars. It would be my responsibility to explain what that means if I want to use it in some context. It also seems you believe that $<$ is meaningful on $\mathbb{C}$ so I should point out this is not true. The complex numbers are not a totally ordered field. Last edited by skipjack; February 9th, 2019 at 01:12 PM.  
February 9th, 2019, 09:11 AM  #13 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,122 Thanks: 1003  Are you a student attending math classes?
Last edited by skipjack; February 9th, 2019 at 01:12 PM. 
February 9th, 2019, 10:33 AM  #14  
Banned Camp Joined: Feb 2019 From: Casablanca Posts: 23 Thanks: 2  Quote:
if X is a real number, then X would be equal 1 and there is no contradiction. It is the fact to say that X is different from 1 which means that X is not real. And since I used the <and> to set it, X would not be a complex number. Last edited by skipjack; February 9th, 2019 at 01:14 PM.  
February 9th, 2019, 10:38 AM  #15  
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 550  Quote:
Last edited by skipjack; February 9th, 2019 at 01:14 PM.  
February 9th, 2019, 10:40 AM  #16 
Banned Camp Joined: Feb 2019 From: Casablanca Posts: 23 Thanks: 2  No. I have a bac +5 in automatic; I'm looking for work. I have always found the strange Dirac impulse and I want to construct such a strange number group. Last edited by skipjack; February 9th, 2019 at 01:17 PM. 
February 9th, 2019, 11:00 AM  #17 
Banned Camp Joined: Feb 2019 From: Casablanca Posts: 23 Thanks: 2  
February 9th, 2019, 11:34 AM  #18  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,079 Thanks: 845 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
February 9th, 2019, 12:14 PM  #19 
Banned Camp Joined: Feb 2019 From: Casablanca Posts: 23 Thanks: 2 
Sorry. I can do that, but I do not have the means to do it. I do not even have a computer or a smartphone; I sometimes use my father's smartphone. That's why I'm here so you can do that. I can say that all of its numbers have the same cardinal as the set R. Last edited by skipjack; February 9th, 2019 at 01:19 PM. 
February 9th, 2019, 01:25 PM  #20 
Global Moderator Joined: Dec 2006 Posts: 20,373 Thanks: 2010 
Why can you say that?


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